. If repetitions are not permitted
i. How many 3 digit numbers can be formed from the six digits 2, 3, 5, 6, 7 & 9?
ii. How many of these are less than 400 ?
iii. How many are even?
iv. How many are o
Answers
Answer:
1) 120 2)40 3) 40 4) 80
Step-by-step explanation:
1) no Repeation allowed so ,
in 1st place there are 6 chances to sit
in 2nd place there are 5 chances to sit because 1
already selected
in 3rd place there are 4 chances to sit
thus multiply all 6×5×4=120
2) 20 numbers start from digit 2 thus there are 6 digits, from which 2 and 3 are less than 4
so they 2 numbers (2, 3) multiply by 20 to give no less
than 400
=20×2=40
3) (2 and 6) are two different even numbers
total no =120
and 20 (3 digit) numbers of each no from last
and (2,6) are 2 even no
so 20×2=40
4) odd = total - even
odd = 120 - 40
= 80 no
above question of D part is not o but it is odd
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